cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A379711 Decimal expansion of the dihedral angle, in radians, between any two adjacent faces in a disdyakis triacontahedron.

This page as a plain text file.
%I A379711 #12 Jan 03 2025 09:28:19
%S A379711 2,8,7,7,8,3,6,6,1,0,4,6,1,2,2,4,2,8,0,9,4,3,4,5,0,4,5,4,8,1,7,9,9,1,
%T A379711 7,7,5,4,7,4,9,4,2,8,6,6,5,4,0,6,4,7,0,3,4,5,6,8,2,6,3,2,1,6,9,8,3,8,
%U A379711 3,1,7,6,7,0,9,4,3,8,4,5,9,9,1,5,6,6,8,4,9,7
%N A379711 Decimal expansion of the dihedral angle, in radians, between any two adjacent faces in a disdyakis triacontahedron.
%C A379711 The disdyakis triacontahedron is the dual polyhedron of the truncated icosidodecahedron (great rhombicosidodecahedron).
%H A379711 Paolo Xausa, <a href="/A379711/b379711.txt">Table of n, a(n) for n = 1..10000</a>
%H A379711 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/DisdyakisTriacontahedron.html">Disdyakis Triacontahedron</a>.
%H A379711 Wikipedia, <a href="https://en.wikipedia.org/wiki/Disdyakis_triacontahedron">Disdyakis triacontahedron</a>.
%F A379711 Equals arccos((-179 - 24*sqrt(5))/241) = arccos((-179 - 24*A002163)/241).
%e A379711 2.8778366104612242809434504548179917754749428665406...
%t A379711 First[RealDigits[ArcCos[(-179 - 24*Sqrt[5])/241], 10, 100]] (* or *)
%t A379711 First[RealDigits[First[PolyhedronData["DisdyakisTriacontahedron", "DihedralAngles"]], 10, 100]]
%Y A379711 Cf. A379708 (surface area), A379709 (volume), A379710 (inradius), A379388 (midradius).
%Y A379711 Cf. A344075, A377995 and A377996 (dihedral angles of a truncated icosidodecahedron (great rhombicosidodecahedron)).
%Y A379711 Cf. A002163.
%K A379711 nonn,cons,easy
%O A379711 1,1
%A A379711 _Paolo Xausa_, Dec 31 2024